Instead of the other way around? IMO Louisa was doing everything possible to get CW.

Ch 8: Louisa (and Henrietta) in their sudden interests in the Navy List.

Ch 10: He was more engaged with Louisa than with Henrietta. Louisa certainly put more forward for his notice than her sister. This distinction appeared to increase, and there was one speech of Louisa's which struck her..."

In this case, I wonder if Louisa made Henrietta go to the Hayters just to get her out of the way?

Ch 10: "And so, I made her go. I could not bear that she should be frightened from the visit by such nonsense....And Henrietta seemed entirely to have made up hers to call at Winthrop to-day; and yet, she was as near giving it up out of nonsensical complaisance!"

And when Louisa declared her firmness of mind, probably innocently but it was still sharing a personal thought, then CW began to consider her as a possible interest.

It was Louisa who insisted on going to Lyme with CW:

Ch 11: "The young people were all wild to see Lyme.... and, in short, Louisa, who was the most eager of the eager, having formed the resolution to go, and besides the pleasure of doing as she liked, being now armed with the idea of merit in maintaining her own way, bore down all the wishes of her father and mother for putting it off till summer; and to Lyme they were to go..."

And now Louisa is like totally interested in the Navy:

Ch 11: "Anne thought she left great happiness behind her when they quitted the house; and Louisa, by whom she found herself walking, burst forth into raptures of admiration and delight on the character of the navy..."

And finally, she practically threw herself at CW in Cobb:

Ch 12: "... all were contented to pass quietly and carefully down the steep flight, excepting Louisa: she must be jumped down them by Captain Wentworth."